Ali has a collection of 177 snap-together building blocks. Ali has one fourth as many red blocks as blue blocks, half as many white blocks as black blocks, an equal number of black and blue blocks, and 34 miscellaneous blocks of other colors. How many red blocks does Ali have?
Help me plz!

Answers

Answer 1

Answer:

The number of red blocks Ali has is 13 red balls

Step-by-step explanation:

The given parameters are;

The number of snap-together building blocks Ali has = 177

The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has

The number of white  blocks Ali has = 1/2 × The number of black blocks Ali has

The number of black blocks Ali has = The number of blue blocks he has

The number of miscellaneous blocks Ali has = 34

Let x represent the number of blue blocks Ali has, therefore, we have;

The number of red blocks Ali has = 1/4 × x

The number of black blocks Ali has = The number of blue blocks = x

x = 1/2 × The number of white blocks Ali has

∴ The number of white blocks Ali has = 2·x

The number of known colored blocks Ali has = 177 - 34 = 143

Therefore, we have;

x + 1/4·x + x + 1/2·x = 143

11/4·x = 143

x = 143 × 4/11 = 52

Therefore, the number of blue blocks Ali has = x = 52 blue balls

The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has = 1/4 × 52 = 13

The number of red blocks Ali has = 13 red balls.


Related Questions

I suck at math I need help

Answers

Answer:

74° is the answer

In the triangle

112°+33°+a=180. (sum of angles of triangle)

a=180-145

a=35°

a+b+71°=180. (linear pair)

35°+b+71°=180

b=180-106

{b= 74°}

Solve the system
-3x+4y+2z=1
x+2y-z=6
2x-y+4z=7

Answers

Answer:

its A dont know how to explain it but i did the math and yes it is (2,3,1)

Step-by-step explanation:

Answer:

the answer is d (3,2,1) according to the picture given

Step-by-step explanation:

the system you wrote is different from the picture

Which of the following relations between input numbers and output numbers is not a function?

Answers

Answer:

B

Step-by-step explanation:

Quick 50 points brainliest
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 11(1.01)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)

Answers

Answer:

[tex]0\leq d\leq 7[/tex]

Step-by-step explanation:

[tex]11.79=11(1.01^d)\\1.01^d=\frac{11.79}{11} \\1.01^d=1.0718\\ln(1.01^d)=ln(1.0718)\\d ln(1.01)=ln(1.0718)\\d=\frac{ln(1.0718)}{ln(1.01)} \\d=\frac{0.069}{0.0099} \\d=6.9696[/tex]

By rounding up.

d=7

Hence, the domain is

[tex]0\leq d\leq 7[/tex]

Answer:

0<x<d

its so easy if you need help

Find the smallest side of RST, given that

Answers

Answer:

doesn't it give you the angles for each letter? If that is the case then it would be 33

Step-by-step explanation:

May I have brainliest please? :)

Answer:

RT

Step-by-step explanation:

RT

Since angle S is the smallest angle, the smallest side is opposite that.

A 4 quart container of window cleaner costs $12.48. What is the price per cup?

Answers

Answer:

$3.12

Step-by-step explanation:

A quart is 4 cups

Divide the Price $12.48 by 4 = $3.12 a cup

Suppose 52R% of the population has a college degree. If a random sample of size 808808 is selected, what is the probability that the proportion of persons with a college degree will be less than 54T%

Answers

Answer:

The probability is  [tex]P( p < 435.82 ) = 0.54094[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is  p =  54% = 0.54

    The sample size is  n  =  808

Generally the distribution of the population with college degree follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

Generally the mean is mathematically represented as

       [tex]\mu = n * p[/tex]

=>    [tex]\mu = 808 * 0.52[/tex]

=>    [tex]\mu = 420.16[/tex]

Generally the standard deviation is mathematically represented as

        [tex]\sigma = \sqrt{np(1- p )}[/tex]

=>      [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]    

=>      [tex]\sigma = 14.2[/tex]

Generally 54% of the population proportion is

         [tex]\^ p = 0.54 * 808[/tex]

=>     [tex]\^ p = 436.32[/tex]

Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as

      [tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>  [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]

applying continuity correction

      [tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]

From the z table  the area under the normal curve to the left corresponding to 0.1028  is

   [tex]P( Z < 0.1028 ) = 0.54094[/tex]

=> [tex]P( p < 435.82 ) = 0.54094[/tex]

       

   

this one is also giving me a hard time

Answers

Answer:

Step-by-step explanation:

y = mx + b

[tex]m_{LN} = m_{NP }[/tex] = - [tex]\frac{10}{4}[/tex] = - [tex]\frac{5}{2}[/tex]

y-intercept is 1

y = - [tex]\frac{5}{2}[/tex] x + 1

6 + x = 6 help please

Answers

Answer:

The correct answer is that x = 0.

Answer:

x=0

Step-by-step explanation:

6+x=6

x=6-6

x=0

6. f(x) = (x + 2). g(X) = (X+3) Find (fºg)(x)

Answers

Answer:

(f o g)(x) = x + 5

General Formulas and Concepts:

Algebra I

Combining Like Terms

Algebra II

Function Composition

Step-by-step explanation:

Step 1: Define

f(x) = x + 2

g(x) = x + 3

(f o g)(x) = f(g(x))

Step 2: Find

Substitute:                         (f o g)(x) = (x + 3) + 2Combine like terms:         (f o g)(x) = x + 5

Answer:

f(x+3)=x+5

Goodluck to you

I’m timed please help

The David family traveled to silver lake in five hours. Their return trip took 7/8 of the time it took to travel to the lake. How long did the return trip take

O 4 1/8

O 4 3/8

O 5 5/7

O 5 7/8

Answers

Its either 5 7/8 if your adding but if your multiplying it’s 4 3/8, I personally think that’s it’s multiplying.

At Jay Street Middle School, 25%of eighth graders wear glasses. If 100 students wear glasses how many eighth graders are there in total?

Answers

Answer:

400 total

Step-by-step explanation:

so 100 is 25% of 100% and 25%x4=100%

so do 100x4=400=100% of the middle schoolers

Pls Answer this Right and Professionally I’m begging you I will mark a brainless too

Answers

Answer:

3. x=110  y=110  t=70

4. a=105  b=105  c=75  d=75  e=105  g=75  f=75

Step-by-step explanation:

X=110,Y=110,T=70
Should be the answer to the 1st question. 110+70=180

Please give the correct answer and I will give a brainless

Answers

Answer:

It’s 40 I’m pretty sure because of the square. That’s how I was taught.

Plz Help. Euler Equations are hard!
Find the general solution to the following differential equation.

Answers

An

2 pie/3

Step-by-step explanation:

The graph below shows the numbers of cups of peach juice that are mixed with different numbers of cups of lemon-lime soda to make servings of peach soda:

A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 9, 18, 27, 36, 45. Points are shown on ordered pairs 0, 0 and 1, 9 and 2, 18 and 3, 27 and 4, 36. These points are connected by a line. The label on the x axis is Lemon lime soda in cups. The title on the y axis is Peach juice in cups.

What is the ratio of the number of cups of peach juice to the number of cups of lemon-lime soda?

9:1
1:36
36:1
1:9

Answers

Answer:

A-9:1 is correct i can confirm since i took the test

Step-by-step explanation:

A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is being pulled in at the rate of 5 ft/s, how fast (in ft/s) is the boat approaching the dock when it is 34 ft from the dock?

Answers

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

[tex]l^2 = h^2 +d^2[/tex]

[tex]l^2 = 6^2 + d^2[/tex]

[tex]l^2 = 36 + d^2[/tex]

We relate to:  [tex]2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}[/tex]

From the question;

l = 34,

So to find [tex]\dfrac{dd}{dt}[/tex], we get;

[tex]d = \sqrt{l^2 - 36}[/tex]

[tex]d = \sqrt{34^2 - 36}[/tex]

[tex]d = \sqrt{1156- 36}[/tex]

[tex]d = \sqrt{1120}[/tex]

d = 33.46

So, we have:

[tex]\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}[/tex]

[tex]\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5[/tex]

[tex]\dfrac{dd}{dt}= 1.016 \times - 5[/tex]

[tex]\dfrac{dd}{dt}=-5.08 \ ft/sec[/tex]

A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
how long will it be before the train is traveling at a rate of 80 mph?
OA) 4 hours
B) 5 hours
OC) 6 hours
OD 7 hours

Answers

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

Brandon currently runs the mile in 6.8 minutes.
If he can cut 10 seconds off of his , -mile rate, what will his new mile time be?

Answers

6 mins 38 seconds

.8 of 60 secs is 48 seconds so his time is 6 mins and 48 seconds, cutting off 10 seconds gives a new time of 6 mins 38 seconds

Alice is opening a savings account which earns 2.2% interest, compounded continuously.

How much will she need to deposit in the account so that she has $6200 after 3 years?Round your answer to the nearest dollar.

Answers

Answer:$5804

Step-by-step explanation:

P=6200/e^(0.022)(3)

Answer:

5804 just trust me i got it right

If two sides of a triangle are 7 and 14, the third side may be?

Answers

Answer:

it would be 2

Step-by-step explanation:

Answer:

smaller than the sum of the other two sides

In this case less than 21

Step-by-step explanation:

Triangle Inequality Theorem

What volume would a 200 g sample of gold have, if its density is known to be 19.3

Answers

Answer:

The volume that a 200 g gold sample would have is 10.36 mL.

Step-by-step explanation:

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

[tex]density=\frac{mass}{volume}[/tex]

In this case it is known that the density of gold is 19.3 g / mL. This indicates that in 1 mL there are 19.3 g. Then the following rule of three can be applied: if 19.3 g is contained in 1 mL, how much volume is 200 g of gold?

[tex]volume=\frac{200 g*1mL}{19.3g}[/tex]

volume= 10.36 mL

The volume that a 200 g gold sample would have is 10.36 mL.

The product of two numbers is 1856. The sum is ninety. What is the difference of these two numbers?

Answers

Answer:  26

======================================================

Explanation:

x and y are the two numbers

The product of those values is 1856, so xy = 1856

The sum is 90, so x+y = 90. Solve for y to get y = 90-x

Plug this into the first equation

xy = 1856

x(90-x) = 1856

90x-x^2 = 1856

0 = x^2-90x+1856

x^2-90x+1856 = 0

Now use the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-90)\pm\sqrt{(-90)^2-4(1)(1856)}}{2(1)}\\\\x = \frac{90\pm\sqrt{676}}{2}\\\\x = \frac{90\pm26}{2}\\\\x = \frac{90+26}{2} \ \text{ or } \ x = \frac{90-26}{2}\\\\x = \frac{116}{2} \ \text{ or } \ x = \frac{64}{2}\\\\x = 58 \ \text{ or } \ x = 32\\\\[/tex]

If x = 58, then,

y = 90-x

y = 90-58

y = 32

So one pair of values is (x,y) = (58,32)

We see that x*y = 58*32 = 1856

If x = 32, then,

y = 90-x

y = 90-32

y = 58

Showing (x,y) = (32,58) is the other solution. But this is just a mirror copy of the first solution. Effectively we're saying the same thing.

The two numbers 58 and 32 multiply to 1856, and they add to 90.

The difference in the two values is 58-32 = 26 which is the final answer.

------------------------

In summary,

58*32 = 1856

58+32 = 90

58 - 32 = 26

Answer:26

Step-by-step explanation:

x+y=90

xy=1856

x*(90-x)=1856

-x^2 +90x -1856=0

or x^2 -90x +1856=0

Using quadratic equation

(x-58)*(x-32)=0

x=58, y=32

58-32=26

An equation is shown. What factor is missing from the equation? 32 + 20= (8+5)*​

Answers

Answer:

4

Step-by-step explanation:

32+20=52

8+5=13

52/13=4

hi guys whats 456829+345627=

you will win 85 points

Answers

Answer:

802456

Step-by-step explanation:

A new basketball 20% off if it’s original price and is now selling for $36 what is the original price of the basketball before
the sale?

Answers

The answer is 180$ hope this helps

what are the possible values for the ones digits when a number is a multiple of 5

Answers

Answer:

0, 5

Step-by-step explanation:

5 * 0 = 0

5 * 1 = 5

5 * 2 = 10

5 * 3 = 15

5 * 4 = 20

5 * 5 = 25

etc.

Answer: 0, 5

If someone is smart enough to do this your a genius and I will give you a brainless

You have to fill in the blanks

Answers

A. 107
B. 29
C. 70
D. 73
E. 73
F. 151
G. 151
H. 110
I. 110
J. 44
K. 41
L. 107
M. 107
N. 73
O. 73
P. 44
Q. 119

I need help with this .
use the name of the graph to name the function ​

Answers

Constant function would be the correct answer

13/3 = 26/c help ASAP PLZ!!!!!!!!!!!!!

Answers

C=6
13 is half of 26
All you’re doing is basically adding 13+13 together which is 26 and then 3 plus 3 which is 6
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